Tunable high-order sideband spectra generation using a photonic molecule optomechanical system

Abstract

A tunable high-order sideband spectra generation scheme is presented by using a photonic molecule optomechanical system coupled to a waveguide beyond the perturbation regime. The system is coherently driven by a two-tone laser consisting of a continuous-wave control field and a pulsed driving field which propagates through the waveguide. The frequency spectral feature of the output field is analyzed via numerical simulations, and we confirm that under the condition of intense and nanosecond pulse driving, the output spectrum exhibits the properties of high-order sideband frequency spectra. In the experimentally available parameter range, the output spectrum can be efficiently tuned by the system parameters, including the power of the driving pulse and the coupling rate between the cavities. In addition, analysis of the carrier-envelop phase-dependent effect of high-order sideband generation indicates that the system may present dependence upon the phase of the pulse. This may provide a further insight of the properties of cavity optomechanics in the nonlinear and non-perturbative regime, and may have potential applications in optical frequency comb and communication based on the optomechanical platform. Cavity optomechanics1,2 describes the interaction between the electromagnetic radiation and nanomechanical or micromechanical motion, which has been developing rapidly. During the past decades, it leads to various important applications, such as gravitational-wave detection 3 , cooling of mechanical oscillators to the ground-state of motion 4-11 , optomechanically induced transparency (OMIT) and slow light [12][13][14][15][16][17][18] , precision measurements 19,20 , squeezing of light 21 , quantum information processing [22][23][24] , and so on. Most of the recent developments in cavity optomechanics are based on the perturbative interaction between the driving light fields and the optomechanical system. For example, in the context of OMIT, the optomechanical system is coherently driven by both a control field and a probe field. If the strength of the probe field is far less than that of the control field, the perturbation method can be used and the OMIT can be properly described by the linearization of the Heisenberg-Langevin equations. Aside from OMIT, the linearization of optomechanical interaction has also been adopted in many other studies, such as optomechanical dark state 25 and normal mode splitting 26 . One key aspect is that if the strength of the probe field becomes comparable with that of the control field, the perturbative description breaks down, and some novel nonlinear and non-perturbative effects come to appear 27,28 . Therefore, extending the studies of cavity optomechanics from the linear and perturbation regime to the nonlinear and non-perturbative regime is of great interest. On the other hand, as a natural extension of the generic optomechanical system, the composite optomechanical system which consists of two directly coupled whispering-gallery-mode microcavities (called a photonic molecul...

Coulomb-interaction-dependent effect of high-order sideband generation in an optomechanical system

“…Based on the method, features of nonlinear optomechanical dynamics with multiple probe field driven have been discussed and sum and difference sideband generation [16] have been revealed, and typical spectral structure in the nonperturbative regime have been identified [17]. Recently, optomechanically induced sideband generation and chaos dynamics have been studied in various contents, including optomechanical system with second-order coupling [18], delaying or advancing higher-order sideband signals [19], hybrid electro-optomechanical systems [20,21], photonic molecule optomechanical system [22], coherentmechanical pumped optomechanical systems [23], and PTsymmetry optomechanics [24]. Analytical description of the intrinsic nonlinearity arising from quadratic optomechanical interactions [25] has also been discussed.…”

Optical multistability and Fano line-shape control via mode coupling in whispering-gallery-mode microresonator optomechanics

“…The marked achievements have been made in those optical components, such as ultrahigh-precision measurement6, gravitation-wave detection7, quantum information processing (QIP)8910, higher-order sidebands111213, optical nonlinearity141516, mechanical parity-time symmetry171819 and -broken chaos20, quantum entanglement212223242526, optomechanically induced transparency (OMIT)272829303132333435, and optomechanically induced stochastic resonance (OMISR)36, and many others12345.…”

Two-color second-order sideband generation in an optomechanical system with a two-level system

“…Recently, due to the nonlinear optomechanical interactions between the optical cavities and the mechanical resonators, a lot of interesting phenomena 19 – 22 emerge, such as high-order sidebands 23 , 24 and chaos 25 , 26 which are achieved in the bichromatic driving regime by making use of numerical calculation method. In the perturbative regime that the probe field is weaker than the control field, an analytical method has also been proposed to describe the nonlinear interactions in an optomechanical system 27 – 29 .…”